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  2. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained.

  3. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    The word angle comes from the Latin word angulus, meaning ... Sin is the "complete" function that takes an ... a reference angle of 30 degrees as well (210° mod 180 ...

  4. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle' and μέτρον (métron) 'measure') [1] is a branch of mathematics concerned with relationships between angles and side lengths of triangles.

  5. Sine and cosine - Wikipedia

    en.wikipedia.org/wiki/Sine_and_cosine

    In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...

  6. Urdu Dictionary Board - Wikipedia

    en.wikipedia.org/wiki/Urdu_Dictionary_Board

    In 1977, the Board published the first edition of Urdu Lughat, a 22-volume comprehensive dictionary of the Urdu language. [2] The dictionary had 20,000 pages, including 220,000 words. [3] In 2009, Pakistani feminist poet Fahmida Riaz was appointed as the Chief Editor of the Board. [4] In 2010, the Board published one last edition Urdu Lughat. [3]

  7. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    The sine and the cosine functions, for example, are used to describe simple harmonic motion, which models many natural phenomena, such as the movement of a mass attached to a spring and, for small angles, the pendular motion of a mass hanging by a string. The sine and cosine functions are one-dimensional projections of uniform circular motion.

  8. Modern Arabic mathematical notation - Wikipedia

    en.wikipedia.org/wiki/Modern_Arabic_mathematical...

    It is contested that the usage of Latin x in maths is derived from the first letter ش šīn (without its dots) of the Arabic word شيء šayʾ(un), meaning thing. [2] (X was used in old Spanish for the sound /ʃ/). However, according to others there is no historical evidence for this. [3] [4] ص: From the Arabic letter ص ṣād

  9. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    For example, the sine of angle θ is defined as being the length of the opposite side divided by the length of the hypotenuse. The six trigonometric functions are defined for every real number , except, for some of them, for angles that differ from 0 by a multiple of the right angle (90°).